Arithmetical invariants of local quaternion orders
Arithmetical invariants of local quaternion orders
Let $D$ be a DVR, let $K$ be its quotient field, and let $R$ be a $D$-order in a quaternion algebra $A$ over $K$. The <em>elasticity</em> of $R^\bullet$ is $\rho(R^\bullet) = \sup\{k/l : u_1\cdots u_k = v_1 \cdots v_l$ with $u_i, v_j$ atoms of $R^\bu